{"instruction": "You are an expert in relationship extraction. Please extract relationship triples that match the schema definition from the input. Return an empty list for relationships that do not exist. Please respond in the format of a JSON string.", "schema": ["part of", "conjunction", "used for", "hyponym of"], "input": "We establish sufficient conditions for the concavity of our reweighted objective function in terms of weight assignments in the Kikuchi expansion , and show that a reweighted version of the sum product algorithm applied to the Kikuchi region graph will produce global optima of the Kikuchi approximation whenever the algorithm converges ."}
{"part of": [], "conjunction": [], "used for": [{"subject": "reweighted version of the sum product algorithm", "object": "Kikuchi region graph"}], "hyponym of": []}